Least Common Multiple (LCM) of 67 and 61
The least common multiple (LCM) of 67 and 61 is 4087.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 67 and 61?
First, calculate the GCD of 67 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 61 = 1 remainder 6 |
| 2 | 61 ÷ 6 = 10 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 123 | 7995 |
| 24 and 15 | 120 |
| 26 and 182 | 182 |
| 14 and 189 | 378 |
| 157 and 46 | 7222 |